101101121000 has 128 divisors (see below), whose sum is σ = 264379489920. Its totient is φ = 35867200000.

The previous prime is 101101120997. The next prime is 101101121053. The reversal of 101101121000 is 121101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338915 + ... + 563085.

It is an arithmetic number, because the mean of its divisors is an integer number (2065464765).

Almost surely, 2^101101121000 is an apocalyptic number.

101101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132189744960).

101101121000 is an abundant number, since it is smaller than the sum of its proper divisors (163278368920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101121000 is a wasteful number, since it uses less digits than its factorization.

101101121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224244 (or 224230 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101101121000 its reverse (121101101), we get a palindrome (101222222101).

It can be divided in two parts, 101 and 101121000, that added together give a palindrome (101121101).

The spelling of 101101121000 in words is "one hundred one billion, one hundred one million, one hundred twenty-one thousand".